Multiply and divide powers (the laws of exponents)

Answer Key - Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Kira's robot is stuck on 9^4 × 9^6 = 9^?. Its antenna droops a little. What exponent does the robot need?

   10
2. 2.

   Luz's craft box holds 3^2 bags with 3^4 beads in each bag, so it holds 3^? beads. The lid barely closes. What is the missing exponent?

   6
3. 3.

   Milo's worksheet asks for 6^10 ÷ 6^2 = 6^?. The question is printed in a very serious font. What is the missing exponent?

   8
4. 4.

   Ren shares 2^7 pencils equally among 2^3 cups, so each cup gets 2^? pencils. Every cup has a name sticker. What is the missing exponent?

   4
5. 5.

   Tala's puzzle card says (4^3)^5 = 4^?. A shiny star sticker is the prize. What exponent earns the star?

   15
6. 6.

   Ari writes (3^5)^4 = 3^? at the top of a page. The pencil is freshly sharpened. What is the missing exponent?

   20
7. 7.

   Bo's square quilt has 2^3 patches along each side, so it has (2^3)^2 = 2^? patches. It is big enough for a nap. What is the missing exponent?

   6
8. 8.

   Kira's padlock tag shows 8^10 ÷ 8^2 and four dial settings. Only one setting is right. Which single power is equal to 8^10 ÷ 8^2?

   • 8^12
   • 1^8
   • 8^5
   • 8^8
9. 9.

   The art room has 2^9 crayons to share equally among 2^3 tables, so each table gets 2^9 ÷ 2^3. Milo hopes for purple. How many crayons does each table get?

   64
10. 10.

    Noah's class folds 3^6 paper stars and packs them equally into 3^2 boxes, so each box holds 3^6 ÷ 3^2 stars. Every star is folded by hand. How many stars are in each box?

    81